text: Forced convection is type of heat transport in which fluid motion is generated by an external source like a (pump, fan, suction device, etc.). Heat transfer through porus media is very effective and efficiently. Forced convection heat transfer in a confined porous medium has been a subject of intensive studies during the last decades because of its wide applications.
  The basic problem in heat convection through porous media consists of predicting the heat transfer rate between a deferentially heated, solid impermeable surface and a fluid-saturated porous medium. Beginning with constant wall temperature.
  In 2D steady state system
  According to Darcy's law
   is the thickness of the slender layer of length x that affects the temperature transition from   to .
  Balancing the energy equation between enthalpy flow in the x direction and thermal diffusion in the y direction
  boundary is slender so     
  The Peclet number is a dimensionless number used in calculations involving convective heat transfer. It is the ratio of the thermal energy convected to the fluid to the thermal energy conducted within the fluid.
       Advective transport rate  Diffusive transport rate